Spatial heterodyne spectroscopy (SHS) is a new spectroscopic technique which can achieve high spectral resolution.The basic concepts of spatial heterodyne spectrometer was described.A method of data processing for interferogram of spatial heterodyne spectrometer was presented based on its characteristics.First order difference was performed for eliminating the baseline of interferogram.The triangular function was chosen as apodization function.The process of phase correction for Fourier transform spectrum is described.The wavelength calibration curve of SHS experimental system was obtained by measuring sodium light double line and mercury light double line.The spectral inversion accuracy of spatial heterodyne spectrometer can be effectively improved by use of this method.